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Finding the Third Proportional to 41,427.38 and 64,806.75

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Solution

The third proportional to 41,427.38 and 64,806.75 is: 101,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,427.38 : 64,806.75 = 64,806.75 : x
  2. Step 2: Convert to fraction form
    41,427.38/64,806.75 = 64,806.75/x
  3. Step 3: Cross multiply
    41,427.38x = 64,806.75 × 64,806.75
  4. Step 4: Simplify right side
    41,427.38x = 4,199,914,845.56
  5. Step 5: Solve for x
    x = 4,199,914,845.56/41,427.38
  6. Step 6: Final answer
    x = 101,380.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.